Pith Number

pith:3Z2D5FDD

pith:2002:3Z2D5FDDQNEDD6MWGGA7NAVHMW

not attested not anchored not stored refs pending

Quantum mechanics from a Heisenberg-type equality

Marcel Reginatto, Michael J. W. Hall

arxiv:quant-ph/0201084 v1 · 2002-01-19 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z2D5FDDQNEDD6MWGGA7NAVHMW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:38:02.214688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de743e9463834831f9963181f682a765a2c2ae66b4c95b53f8fd32c30b64df21

Aliases

arxiv: quant-ph/0201084 · arxiv_version: quant-ph/0201084v1 · doi: 10.48550/arxiv.quant-ph/0201084 · pith_short_12: 3Z2D5FDDQNED · pith_short_16: 3Z2D5FDDQNEDD6MW · pith_short_8: 3Z2D5FDD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3Z2D5FDDQNEDD6MWGGA7NAVHMW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: de743e9463834831f9963181f682a765a2c2ae66b4c95b53f8fd32c30b64df21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f05e287e6cee4a232fb4c150820f7a13d756a9d21f0b12bac0a4ddaac6baa55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-01-19T05:47:56Z",
    "title_canon_sha256": "c20c33b43ec1d4bfd4e8b248bfe31001400751723983c4b4dfdf2c2d1de5fe23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0201084",
    "kind": "arxiv",
    "version": 1
  }
}